@article{GschreyThomaSchnauberetal.2015, author = {Gschrey, Manuel and Thoma, Alexander and Schnauber, Peter and Seifried, Marc and Schmidt, Ronny and Wohlfeil, Benjamin and Kr{\"u}ger, Luzy and Schulze, Jan-Hindrick and Heindel, Tobias and Burger, Sven and Schmidt, Frank and Strittmatter, Andre and Rodt, Sven and Reitzenstein, Stephan}, title = {Highly indistinguishable photons from deterministic quantum-dot microlenses utilizing three-dimensional in situ electron-beam lithography}, volume = {6}, journal = {Nature Communications}, doi = {10.1038/ncomms8662}, pages = {7662}, year = {2015}, language = {en} } @inproceedings{ThomaSchnauberGschreyetal.2015, author = {Thoma, Alexander and Schnauber, Peter and Gschrey, Manuel and Schmidt, Ronny and Wohlfeil, Benjamin and Seifried, Marc and Schulze, Jan-Hindrick and Burger, Sven and Schmidt, Frank and Strittmatter, Andre and Rodt, Sven and Heindel, Tobias and Reitzenstein, Stephan}, title = {Indistinguishable Photons from Deterministically Fabricated Quantum Dot Microlenses}, booktitle = {Advanced Photonics}, doi = {10.1364/IPRSN.2015.IS4A.6}, pages = {IS4A.6}, year = {2015}, language = {en} } @inproceedings{GschreySeifriedKruegeretal.2014, author = {Gschrey, Manuel and Seifried, Marc and Kr{\"u}ger, Luzy and Schmidt, Ronny and Schulze, Jan-Hindrick and Heindel, Tobias and Burger, Sven and Rodt, Sven and Schmidt, Frank and Strittmatter, Andre and Reitzenstein, Stephan}, title = {Advanced Quantum Light Sources: Modelling and Realization by Deterministic Nanofabrication Technologies}, volume = {IPRSN}, booktitle = {Integrated Photonics Research, Silicon and Nanophotonics}, doi = {10.1364/IPRSN.2014.IW1A.3}, pages = {IW1A.3}, year = {2014}, language = {en} } @inproceedings{GschreySeifriedKruegeretal.2014, author = {Gschrey, Manuel and Seifried, Marc and Kr{\"u}ger, Luzy and Schmidt, Ronny and Schulze, Jan-Hindrick and Heindel, Tobias and Burger, Sven and Rodt, Sven and Schmidt, Frank and Strittmatter, Andre and Reitzenstein, Stephan}, title = {Boosting the photon-extraction efficiency of nanophotonic structures by deterministic microlenses}, booktitle = {CLEO: 2014}, publisher = {Optical Society of America}, doi = {10.1364/CLEO_QELS.2014.FF2K.2}, pages = {FF2K.2}, year = {2014}, language = {en} } @misc{AmiranashviliBandelowBlomeetal.2014, author = {Amiranashvili, Shalva and Bandelow, Uwe and Blome, Mark and Burger, Sven and Schmidt, Frank and Schmidt, Kersten and Zschiedrich, Lin}, title = {Nanophotonics and nonlinear fiber optics}, volume = {1}, journal = {MATHEON-Mathematics for Key Technologies}, editor = {Deuflhard, Peter and et al.,}, publisher = {European Mathematical Society}, doi = {10.4171/137}, pages = {257 -- 275}, year = {2014}, language = {en} } @inproceedings{ThomaSchnauberGschreyetal.2015, author = {Thoma, Alexander and Schnauber, Peter and Gschrey, Manuel and Schmidt, Ronny and Wohlfeil, Benjamin and Seifried, Marc and Schulze, Jan-Hindrick and Burger, Sven and Schmidt, Frank and Strittmatter, Andre and Rodt, Sven and Heindel, Tobias and Reitzenstein, Stephan}, title = {Indistinguishable Photons from Deterministic Quantum Dot Microlenses}, booktitle = {European Conference on Lasers and Electro-Optics - European Quantum Electronics Conference}, doi = {10.1364/IPRSN.2015.IS4A.6}, pages = {EA_8_5}, year = {2015}, language = {en} } @inproceedings{ScholzeLaubisUlmetal.2008, author = {Scholze, Frank and Laubis, Christian and Ulm, Gerhard and Dersch, Uwe and Pomplun, Jan and Burger, Sven and Schmidt, Frank}, title = {Evaluation of EUV scatterometry for CD characterization of EUV masks using rigorous FEM-simulation}, volume = {6921}, booktitle = {Emerging Lithographic Technologies XII}, editor = {Schellenberg, Frank}, publisher = {SPIE}, year = {2008}, language = {en} } @inproceedings{PomplunBurgerSchmidtetal.2008, author = {Pomplun, Jan and Burger, Sven and Schmidt, Frank and Scholze, Frank and Laubis, Christian and Dersch, Uwe}, title = {Metrology of EUV masks by EUV-scatterometry and finite element analysis}, volume = {7028}, booktitle = {Photomask and Next-Generation Lithography Mask Technology XV}, editor = {Horiuchi, Toshiyuki}, publisher = {SPIE}, year = {2008}, language = {en} } @inproceedings{PomplunBurgerSchmidtetal.2006, author = {Pomplun, Jan and Burger, Sven and Schmidt, Frank and Zschiedrich, Lin and Scholze, Frank}, title = {Rigorous FEM-Simulation of EUV-Masks: Influence of shape and material parameters}, volume = {6349}, booktitle = {Photomask Technology}, editor = {Martin, P. and Naber, R.}, publisher = {Proc. SPIE}, doi = {10.1117/12.686828}, pages = {63493D}, year = {2006}, language = {en} } @inproceedings{PomplunBurgerSchmidtetal.2007, author = {Pomplun, Jan and Burger, Sven and Schmidt, Frank and Scholze, Frank and Laubis, Christian and Dersch, Uwe}, title = {Finite element analysis of EUV lithography}, volume = {6617}, booktitle = {Modeling Aspects in Optical Metrology}, editor = {Bosse, Harald}, publisher = {Proc. SPIE}, doi = {10.1117/12.726156}, pages = {661718}, year = {2007}, language = {en} } @inproceedings{ScholzeLaubisDerschetal.2007, author = {Scholze, Frank and Laubis, Christian and Dersch, Uwe and Pomplun, Jan and Burger, Sven and Schmidt, Frank}, title = {The influence of line edge roughness and CD uniformity on EUV scatterometry for CD characterization of EUV masks}, volume = {6617}, booktitle = {Modeling Aspects in Optical Metrology}, editor = {Bosse, Harald}, publisher = {Proc. SPIE}, pages = {66171A}, year = {2007}, language = {en} } @inproceedings{BurgerZschiedrichPomplunetal.2011, author = {Burger, Sven and Zschiedrich, Lin and Pomplun, Jan and Schmidt, Frank and Kato, Akiko and Laubis, Christian and Scholze, Frank}, title = {Investigation of 3D Patterns on EUV Masks by Means of Scatterometry and Comparison to Numerical Simulations}, volume = {8166}, booktitle = {Photomask Technology 2011}, publisher = {Proc. SPIE}, doi = {10.1117/12.896839}, pages = {81661Q}, year = {2011}, language = {en} } @misc{SchaedleZschiedrichBurgeretal.2006, author = {Sch{\"a}dle, Achim and Zschiedrich, Lin and Burger, Sven and Klose, Roland and Schmidt, Frank}, title = {Domain Decomposition Method for Maxwell's Equations: Scattering off Periodic Structures}, doi = {/10.1016/j.jcp.2007.04.017}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-8984}, number = {06-04}, year = {2006}, abstract = {We present a domain decomposition approach for the computation of the electromagnetic field within periodic structures. We use a Schwarz method with transparent boundary conditions at the interfaces of the domains. Transparent boundary conditions are approximated by the perfectly matched layer method (PML). To cope with Wood anomalies appearing in periodic structures an adaptive strategy to determine optimal PML parameters is developed. We focus on the application to typical EUV lithography line masks. Light propagation within the multi-layer stack of the EUV mask is treated analytically. This results in a drastic reduction of the computational costs and allows for the simulation of next generation lithography masks on a standard personal computer.}, language = {en} } @inproceedings{BurgerZschiedrichPomplunetal.2013, author = {Burger, Sven and Zschiedrich, Lin and Pomplun, Jan and Schmidt, Frank}, title = {Finite-element based electromagnetic field simulations: Benchmark results for isolated structures}, volume = {8880}, booktitle = {Proc. SPIE}, arxiv = {http://arxiv.org/abs/1310.2732}, doi = {10.1117/12.2026213}, pages = {88801Z}, year = {2013}, language = {en} } @inproceedings{PomplunBurgerRozovaetal.2011, author = {Pomplun, Jan and Burger, Sven and Rozova, Maria and Zschiedrich, Lin and Schmidt, Frank}, title = {Finite element simulation of optical modes in VCSELs}, booktitle = {Numerical Simulation of Optoelectronic Devices (NUSOD), 11th International Conference on}, doi = {10.1109/NUSOD.2011.6041170}, pages = {119 -- 120}, year = {2011}, language = {en} } @inproceedings{ZschiedrichSchmidtPomplunetal.2016, author = {Zschiedrich, Lin and Schmidt, Frank and Pomplun, Jan and Burger, Sven}, title = {Finite elements for nano-optics applications}, booktitle = {Proc. Europ. Opt. Soc. Ann. Meet. 2016 (EOSAM)}, isbn = {978-1-5108-4796-5}, pages = {178}, year = {2016}, language = {en} } @inproceedings{BarthRoderBrodoceanuetal.2016, author = {Barth, Carlo and Roder, Sebastian and Brodoceanu, Daniel and Kraus, Tobias and Burger, Sven and Hammerschmidt, Martin and Schmidt, Frank and Becker, Christiane}, title = {Increased fluorescence of PbS quantum dots on photonic crystal slab structures}, booktitle = {Proc. Europ. Opt. Soc. Ann. Meet. 2016 (EOSAM)}, isbn = {978-1-5108-4796-5}, pages = {181}, year = {2016}, language = {en} } @inproceedings{HammerschmidtBarthBurgeretal.2016, author = {Hammerschmidt, Martin and Barth, Carlo and Burger, Sven and Becker, Christiane and Schmidt, Frank}, title = {Determining 2D photonic crystal geometries from reflectance spectra with a reduced basis method}, booktitle = {Proc. Europ. Opt. Soc. Ann. Meet. 2016 (EOSAM)}, isbn = {978-1-5108-4796-5}, pages = {281}, year = {2016}, language = {en} } @inproceedings{BeckerXavierPreideletal.2013, author = {Becker, Christiane and Xavier, Jolly and Preidel, Veit and Wyss, Philippe and Sontheimer, Tobias and Rech, Bernd and Probst, J{\"u}rgen and H{\"u}lsen, Christoph and L{\"o}chel, Bernd and Erko, Alexei and Burger, Sven and Schmidt, Frank and Back, Franziska and Rudigier-Voigt, Eveline}, title = {Nanophotonic light trapping in polycrystalline silicon thin-film solar cells using periodically nanoimprint-structured glass substrates}, volume = {8824}, booktitle = {Proc. SPIE}, doi = {10.1117/12.2023871}, pages = {88240D}, year = {2013}, language = {en} } @incollection{ManleyBurgerSchmidtetal.2015, author = {Manley, Phillip and Burger, Sven and Schmidt, Frank and Schmid, Martina}, title = {Design Principles for Plasmonic Nanoparticle Devices}, volume = {XXI}, booktitle = {Progress in Nonlinear Nano-Optics}, editor = {Sakabe, Shuji and Lienau, Christoph and Grunwald, R{\"u}diger}, edition = {Nano-Optics and Nanophotonics}, publisher = {Springer}, arxiv = {http://arxiv.org/abs/1403.7919}, doi = {10.1007/978-3-319-12217-5_13}, pages = {223 -- 247}, year = {2015}, language = {en} } @article{LedentsovJrShchukinKroppetal.2017, author = {Ledentsov, Jr., Nikolay and Shchukin, Vitaly and Kropp, J{\"o}rg-R. and Zschiedrich, Lin and Schmidt, Frank and Ledentsov, Jr., Nikolay}, title = {Resonant cavity light-emitting diodes based on dielectric passive cavity structures}, volume = {10124}, journal = {Proc. SPIE}, doi = {10.1117/12.2253089}, pages = {101240O}, year = {2017}, language = {en} } @inproceedings{HammerschmidtLockauBurgeretal.2012, author = {Hammerschmidt, Martin and Lockau, Daniel and Burger, Sven and Schmidt, Frank and Schwanke, Christoph and Kirner, Simon and Calnan, Sonya and Stannowski, Bernd and Rech, Bernd}, title = {3D optical modeling of thin-film a-Si/mc-Si tandem solar cells with random textured interfaces using FEM}, booktitle = {Renewable Energy and the Environment Optics and Photonics Congress}, publisher = {Optical Society of America}, doi = {10.1364/E2.2012.JM5A.15}, pages = {JM5A.15}, year = {2012}, language = {en} } @article{HiremathZschiedrichSchmidt2012, author = {Hiremath, Kirankumar and Zschiedrich, Lin and Schmidt, Frank}, title = {Numerical solution of nonlocal hydrodynamic Drude model for arbitrary shaped nano-plasmonic structures using Nedelec finite elements}, volume = {231}, journal = {J. Comp. Phys.}, number = {17}, doi = {10.1016/j.jcp.2012.05.013}, pages = {5890 -- 5896}, year = {2012}, language = {en} } @inproceedings{HohageSchmidtZschiedrich2002, author = {Hohage, Thorsten and Schmidt, Frank and Zschiedrich, Lin}, title = {A new method for the solution of scattering problems}, booktitle = {Proceedings of the JEE'02 Symposium}, editor = {Michielsen, Bas and Decav{\`e}le, Francine}, publisher = {ONERA}, address = {Toulouse}, pages = {251 -- 256}, year = {2002}, language = {en} } @article{HohageSchmidtZschiedrich2003, author = {Hohage, Thorsten and Schmidt, Frank and Zschiedrich, Lin}, title = {Solving Time-Harmonic Scattering Problems Based on the Pole Condition I: Theory}, volume = {35}, journal = {SIAM J. Math. Anal.}, number = {1}, doi = {10.1137/S0036141002406473}, pages = {183 -- 210}, year = {2003}, language = {en} } @article{HohageSchmidtZschiedrich2003, author = {Hohage, Thorsten and Schmidt, Frank and Zschiedrich, Lin}, title = {Solving Time-Harmonic Scattering Problems Based on the Pole Condition II: Convergence of the PML Method}, volume = {35}, journal = {SIAM J. Math. Anal.}, number = {3}, doi = {10.1137/S0036141002406485}, pages = {547 -- 560}, year = {2003}, language = {en} } @inproceedings{FrieseDeuflhardSchmidt1999, author = {Friese, T. and Deuflhard, Peter and Schmidt, Frank}, title = {A Multigrid Method for the Complex Helmholtz Eigenvalue Problem}, booktitle = {Procs. Eleventh International Conference on Domain Decomposition Methods in Sciences and Engineering (DD11), UK}, editor = {Lai, Choi-Hong and Bj{\o}rstad, Petter E. and Cross, Mark and Widlund, Olof}, publisher = {DDM.org}, pages = {19 -- 26}, year = {1999}, language = {en} } @article{FrieseSchmidtYevick2000, author = {Friese, T. and Schmidt, Frank and Yevick, David}, title = {Transparent boundary conditions for a wide-angle approximation of the one-way Helmholtz equation}, volume = {165}, journal = {J. Comput. Phys.}, number = {2}, doi = {10.1006/jcph.2000.6637}, pages = {645 -- 659}, year = {2000}, language = {en} } @article{EnkrichWegenerLindenetal.2005, author = {Enkrich, Christian and Wegener, M. and Linden, S. and Burger, Sven and Zschiedrich, Lin and Schmidt, Frank and Zhou, C. and Koschny, T. and Soukoulis, C.}, title = {Magnetic metamaterials at telecommunication and visible frequencies}, volume = {95}, journal = {Phys. Rev. Lett.}, arxiv = {http://arxiv.org/abs/cond-mat/0504774}, doi = {10.1103/PhysRevLett.95.203901}, pages = {203901}, year = {2005}, language = {en} } @article{LindenEnkrichDollingetal.2006, author = {Linden, S. and Enkrich, Christian and Dolling, G. and Klein, M. and Zhou, J. and Koschny, T. and Soukoulis, C. and Burger, Sven and Schmidt, Frank and Wegener, M.}, title = {Photonic metamaterials: Magnetism at Optical Frequencies}, volume = {12}, journal = {IEEE Journal of Selected Topics in Quantum Electronics}, number = {6}, doi = {10.1109/JSTQE.2006.880600}, pages = {1097 -- 1105}, year = {2006}, language = {en} } @inproceedings{LockauZschiedrichSchmidtetal.2009, author = {Lockau, D. and Zschiedrich, Lin and Schmidt, Frank and Burger, Sven and Rech, Bernd}, title = {Efficient simulation of plasmonic structures for solar cells}, volume = {XVIII}, booktitle = {International Workshop on Optical Waveguide Theory and Numerical Modelling}, publisher = {Fraunhofer Institute for Applied Optics and Precision Engineering}, pages = {48}, year = {2009}, language = {en} } @inproceedings{LockauZschiedrichBurgeretal.2011, author = {Lockau, D. and Zschiedrich, Lin and Burger, Sven and Schmidt, Frank and Ruske, F. and Rech, Bernd}, title = {Rigorous optical simulation of light management in crystalline silicon thin film solar cells with rough interface textures}, volume = {7933}, booktitle = {Physics and Simulation of Optoelectronic Devices XIX}, publisher = {Proc. SPIE}, doi = {10.1117/12.874967}, pages = {79330M}, year = {2011}, language = {en} } @article{KarlKettnerBurgeretal.2009, author = {Karl, M. and Kettner, Benjamin and Burger, Sven and Schmidt, Frank and Kalt, H. and Hetterich, M.}, title = {Dependencies of micro-pillar cavity quality factors calculated with finite element methods}, volume = {17}, journal = {Optics Express}, doi = {10.1364/OE.17.001144}, pages = {1144}, year = {2009}, language = {en} } @inproceedings{KettnerSchmidt2011, author = {Kettner, Benjamin and Schmidt, Frank}, title = {The pole condition as transparent boundary condition for resonance problems}, volume = {7933}, booktitle = {Physics and Simulation of Optoelectronic Devices XIX}, publisher = {Proc. SPIE}, doi = {10.1117/12.874752}, pages = {79331B}, year = {2011}, language = {en} } @inproceedings{KloseBurgerSchmidtetal.2005, author = {Klose, Roland and Burger, Sven and Schmidt, Frank and Zschiedrich, Lin}, title = {A multilevel method for the computation of eigenmodes in 3D photonic crystals}, booktitle = {Proceedings of the 5th International Conference on Numerical Simulation of Optoelectronic Devices}, doi = {10.1109/NUSOD.2005.1518135}, pages = {61 -- 62}, year = {2005}, language = {en} } @inproceedings{KleemannKurzHetzleretal.2011, author = {Kleemann, B. and Kurz, J. and Hetzler, J. and Pomplun, Jan and Burger, Sven and Zschiedrich, Lin and Schmidt, Frank}, title = {Fast online inverse scattering with Reduced Basis Method (RBM) for a 3D phase grating with specific line roughness}, volume = {8083}, booktitle = {Modelling Aspects in Optical Metrology III}, publisher = {Proc. SPIE}, doi = {10.1117/12.889364}, pages = {808309}, year = {2011}, language = {en} } @article{PomplunSchmidt2010, author = {Pomplun, Jan and Schmidt, Frank}, title = {Accelerated a posteriori error estimation for the reduced basis method with application to 3D electromagnetic scattering problems}, volume = {32}, journal = {SIAM J. Sci. Comput.}, doi = {10.1137/090760271}, pages = {498 -- 520}, year = {2010}, language = {en} } @inproceedings{PomplunSchmidt2009, author = {Pomplun, Jan and Schmidt, Frank}, title = {Reduced basis method for fast and robust simulation of electromagnetic scattering problems}, volume = {7390}, booktitle = {Numerical Methods in Optical Metrology}, publisher = {Proc. SPIE}, doi = {10.1117/12.827588}, pages = {73900I}, year = {2009}, language = {en} } @inproceedings{PomplunZschiedrichBurgeretal.2009, author = {Pomplun, Jan and Zschiedrich, Lin and Burger, Sven and Schmidt, Frank}, title = {Reduced basis method for computational lithography}, volume = {7488}, booktitle = {Photomask Technology}, publisher = {Proc. SPIE}, doi = {10.1117/12.829639}, pages = {74882B}, year = {2009}, language = {en} } @inproceedings{PhilippowSchmidt1987, author = {Philippow, E. and Schmidt, Frank}, title = {Besondere L{\"o}sungen in harmonisch erregten Ferroresonanz-Kreisen}, volume = {2}, booktitle = {4. Internationales Symposium Theoretische Elektrotechnik Ilmenau}, pages = {26 -- 32}, year = {1987}, language = {en} } @inproceedings{SchmidtYevick1997, author = {Schmidt, Frank and Yevick, David}, title = {Discrete Transparent Boundary Conditions for the Fresnel Equation}, booktitle = {Proceedings of the 8th European Conference on Integrated Optics}, address = {Royal Institute of Technology, Stockholm, Sweden}, pages = {222 -- 225}, year = {1997}, language = {en} } @article{SchaedleZschiedrichBurgeretal.2007, author = {Sch{\"a}dle, Achim and Zschiedrich, Lin and Burger, Sven and Klose, Roland and Schmidt, Frank}, title = {Domain Decomposition Method for Maxwell's Equations}, volume = {226}, journal = {J. Comput. Phys.}, doi = {10.1016/j.jcp.2007.04.017}, pages = {477 -- 493}, year = {2007}, language = {en} } @article{SchlosserSchothBurgeretal.2011, author = {Schlosser, Felix and Schoth, Mario and Burger, Sven and Schmidt, Frank and Knorr, Andreas and Mukamel, S. and Richter, Marten}, title = {Ultrafast nonlinear spectroscopy with spatially confined fields}, volume = {1398}, journal = {AIP Conference Proceedings}, publisher = {AIP}, doi = {10.1063/1.3644223}, pages = {94 -- 96}, year = {2011}, language = {en} } @inproceedings{SchlosserSchothBurgeretal.2012, author = {Schlosser, Felix and Schoth, Mario and Burger, Sven and Schmidt, Frank and Knorr, Andreas and Mukamel, Shaul and Richter, Marten}, title = {Coherent Nonlinear Spectroscopy with Spatiotemporally Controlled Fields}, booktitle = {CLEO/QELS}, publisher = {Optical Society of America}, doi = {10.1364/QELS.2012.QF3D.6}, pages = {QF3D.6}, year = {2012}, language = {en} } @inproceedings{SchlosserSchothHiremathetal.2012, author = {Schlosser, Felix and Schoth, Mario and Hiremath, Kirankumar and Burger, Sven and Schmidt, Frank and Knorr, Andreas and Mukamel, Shaul and Richter, Marten}, title = {Combining nanooptical fields and coherent spectroscopy on systems with delocalized excitons}, volume = {8260}, booktitle = {Proc. SPIE}, doi = {10.1117/12.906671}, pages = {82601V}, year = {2012}, language = {en} } @inproceedings{SchmidtPomplunZschiedrichetal.2011, author = {Schmidt, Frank and Pomplun, Jan and Zschiedrich, Lin and Burger, Sven}, title = {Fast online simulation of 3D nanophotonic structures by the reduced basis method}, volume = {7941}, booktitle = {Integrated Optics: Devices, Materials, and Technologies XV}, publisher = {Proc. SPIE}, doi = {10.1117/12.874726}, pages = {79410G}, year = {2011}, language = {en} } @inproceedings{Schmidt1994, author = {Schmidt, Frank}, title = {Phase-adaptive basis functions for a multilevel finite element solution of the paraxial wave equation}, booktitle = {Euro-Opto Series}, editor = {G. C. Righini, D.}, address = {Lindau, Germany}, pages = {57 -- 61}, year = {1994}, language = {en} } @article{Schmidt1998, author = {Schmidt, Frank}, title = {Computation of Discrete Transparent Boundary Conditions for the 2D Helmholtz equation}, volume = {30}, journal = {Optical and Quantum Electronics}, number = {5,6}, pages = {427 -- 441}, year = {1998}, language = {en} } @inproceedings{Schmidt1998, author = {Schmidt, Frank}, title = {Simulation of Scattering and Reflection Problems via Solution of the 2D Helmholtz Equation}, volume = {4}, booktitle = {Integrated Photonics Research}, pages = {408 -- 410}, year = {1998}, language = {en} } @article{Schmidt1999, author = {Schmidt, Frank}, title = {Construction of Discrete Transparent Boundary Conditions for Schr{\"o}dinger-Type equations}, volume = {9}, journal = {Surv. Math. Ind.}, pages = {87 -- 100}, year = {1999}, language = {en} } @article{SchmidtFrieseYevick2001, author = {Schmidt, Frank and Friese, T. and Yevick, David}, title = {Transparent Boundary Conditions for Split-Step Pad{\´e} Approximations of the One-Way Helmholtz equation}, volume = {170}, journal = {J. Comp. Phys}, pages = {696 -- 719}, year = {2001}, language = {en} } @incollection{SchmidtFrieseZschiedrichetal.2003, author = {Schmidt, Frank and Friese, T. and Zschiedrich, Lin and Deuflhard, Peter}, title = {Adaptive Multigrid Methods for the Vectorial Maxwell Eigenvalue Problem for Optical Waveguide Design}, booktitle = {Mathematics - Key Technology for the Future}, publisher = {Springer}, pages = {270 -- 292}, year = {2003}, language = {en} } @article{SchmidtGottschling1992, author = {Schmidt, Frank and Gottschling, K.}, title = {Improved Method of Mode Determination in Planar Optical Waveguides Using Line Transmission Approach}, volume = {12}, journal = {J. Opt. Commun.}, number = {3}, pages = {112 -- 114}, year = {1992}, language = {en} } @article{SchmidtHohageKloseetal.2008, author = {Schmidt, Frank and Hohage, Thorsten and Klose, Roland and Sch{\"a}dle, Achim and Zschiedrich, Lin}, title = {Pole condition: A numerical method for Helmholtz-type scattering problems with inhomogeneous exterior domain}, volume = {218}, journal = {J. Comput. Appl. Math.}, number = {1}, doi = {10.1016/j.cam.2007.04.046}, pages = {61 -- 69}, year = {2008}, language = {en} } @article{RichterSchlosserSchothetal.2012, author = {Richter, Marten and Schlosser, Felix and Schoth, Mario and Burger, Sven and Schmidt, Frank and Knorr, Andreas and Mukamel, Shaul}, title = {Reconstruction of the wave functions of coupled nanoscopic emitters using a coherent optical technique}, volume = {86}, journal = {Phys. Rev. B}, arxiv = {http://arxiv.org/abs/1201.1765}, doi = {10.1103/PhysRevB.86.085308}, pages = {085308}, year = {2012}, language = {en} } @inproceedings{RozovaPomplunZschiedrichetal.2012, author = {Rozova, Maria and Pomplun, Jan and Zschiedrich, Lin and Schmidt, Frank and Burger, Sven}, title = {3D finite element simulation of optical modes in VCSELs}, volume = {8255}, booktitle = {Proc. SPIE}, arxiv = {http://arxiv.org/abs/1111.4393}, doi = {10.1117/12.906372}, pages = {82550K}, year = {2012}, language = {en} } @article{RuprechtSchaedleSchmidtetal.2008, author = {Ruprecht, Daniel and Sch{\"a}dle, Achim and Schmidt, Frank and Zschiedrich, Lin}, title = {Transparent boundary conditions for time-dependent problems}, volume = {30}, journal = {SIAM J. Sci. Comput.}, number = {5}, doi = {10.1137/070692637}, pages = {2358 -- 2385}, year = {2008}, language = {en} } @inproceedings{SchmidtBurgerPomplunetal.2008, author = {Schmidt, Frank and Burger, Sven and Pomplun, Jan and Zschiedrich, Lin}, title = {Advanced FEM analysis of optical waveguides: algorithms and applications}, volume = {6896}, booktitle = {Integrated Optics}, editor = {Greiner, Christoph and W{\"a}chter, Christoph}, publisher = {SPIE}, doi = {10.1117/12.765720}, pages = {689602}, year = {2008}, language = {en} } @misc{Schmidt1986, type = {Master Thesis}, author = {Schmidt, Frank}, title = {Untersuchung heteronomer Differentialgleichungen mit Hilfe des Analogrechners}, year = {1986}, language = {en} } @article{PomplunBurgerSchmidtetal.2010, author = {Pomplun, Jan and Burger, Sven and Schmidt, Frank and Schliwa, Andrei and Bimberg, Dieter and Pietrzak, Agnieszka and Wenzel, Hans and Erbert, G{\"o}tz}, title = {Finite element simulation of the optical modes of semiconductor lasers}, volume = {247}, journal = {Phys. Status Solidi B}, doi = {10.1002/pssb.200945451}, pages = {846 -- 853}, year = {2010}, language = {en} } @article{PomplunBurgerZschiedrichetal.2007, author = {Pomplun, Jan and Burger, Sven and Zschiedrich, Lin and Schmidt, Frank}, title = {Adaptive finite element method for simulation of optical nano structures}, volume = {244}, journal = {Phys. Status Solidi B}, arxiv = {http://arxiv.org/abs/0711.2149}, doi = {10.1002/pssb.200743192}, pages = {3419 -- 3434}, year = {2007}, language = {en} } @inproceedings{PomplunHolzloehnerBurgeretal.2007, author = {Pomplun, Jan and Holzl{\"o}hner, Ronald and Burger, Sven and Zschiedrich, Lin and Schmidt, Frank}, title = {FEM investigation of leaky modes in hollow core photonic crystal fibers}, volume = {6480}, booktitle = {Proc. SPIE, Photonic Crystal Materials and Devices VI}, editor = {Adibi, Ali and Scherer, Axel and Lin, Shawn-Yu}, pages = {64800M}, year = {2007}, language = {en} } @incollection{PomplunSchmidt2010, author = {Pomplun, Jan and Schmidt, Frank}, title = {Reduced Basis Method for Electromagnetic Field Computations}, booktitle = {Scientific Computing in Electrical Engineering SCEE 2008}, publisher = {Springer Berlin Heidelberg}, doi = {10.1007/978-3-642-12294-1_12}, pages = {85}, year = {2010}, language = {en} } @inproceedings{PomplunSchmidt2008, author = {Pomplun, Jan and Schmidt, Frank}, title = {Reduced Basis Method for Nano Optical Simulations}, booktitle = {Integrated Photonics and Nanophotonics Research and Applications}, publisher = {Optical Society of America}, pages = {IWD7}, year = {2008}, language = {en} } @inproceedings{PomplunSchmidtBurgeretal.2010, author = {Pomplun, Jan and Schmidt, Frank and Burger, Sven and Zschiedrich, Lin}, title = {Adaptive Reduced Basis Method for Optical Scattering Problems}, booktitle = {Integrated Photonics Research, Silicon and Nanophotonics}, publisher = {OSA}, doi = {10.1364/IPRSN.2010.IWD4}, pages = {IWD4}, year = {2010}, language = {en} } @article{PomplunZschiedrichKloseetal.2007, author = {Pomplun, Jan and Zschiedrich, Lin and Klose, Roland and Schmidt, Frank and Burger, Sven}, title = {Finite element simulation of radiation losses in photonic crystal fibers}, volume = {204}, journal = {phys. stat. sol. (a)}, number = {11}, doi = {10.1002/pssa.200776414}, pages = {3822 -- 3837}, year = {2007}, language = {en} } @inproceedings{PomplunBurgerZschiedrichetal.2011, author = {Pomplun, Jan and Burger, Sven and Zschiedrich, Lin and Schmidt, Frank}, title = {Reduced basis method for real-time inverse scatterometry}, volume = {8083}, booktitle = {Modelling Aspects in Optical Metrology III}, publisher = {Proc. SPIE}, doi = {10.1117/12.889892}, pages = {808308}, year = {2011}, language = {en} } @inproceedings{PomplunWenzelBurgeretal.2012, author = {Pomplun, Jan and Wenzel, Hans and Burger, Sven and Zschiedrich, Lin and Rozova, Maria and Schmidt, Frank and Crump, Paul and Ekhteraei, Hossein and Schultz, Christoph M. and Erbert, G{\"o}tz}, title = {Thermo-optical simulation of high-power diode lasers}, volume = {8255}, booktitle = {Proc. SPIE}, doi = {10.1117/12.909330}, pages = {825510}, year = {2012}, language = {en} } @article{SchmidtMaerz1996, author = {Schmidt, Frank and M{\"a}rz, Reinhard}, title = {On the Reference Wave Vector of Paraxial Helmholtz Equations}, volume = {14}, journal = {IEEE Journal of Lightwave Technology}, pages = {2395 -- 2400}, year = {1996}, language = {en} } @article{SchmidtNolting1992, author = {Schmidt, Frank and Nolting, Hans-Peter}, title = {Adaptive Multilevel Beam Propagation Method}, volume = {4}, journal = {IEEE Photonics Technology Letter}, pages = {1381 -- 1383}, year = {1992}, language = {en} } @inproceedings{SchmidtNolting1992, author = {Schmidt, Frank and Nolting, Hans-Peter}, title = {An Adaptive Approach to a Beam Propagation Method}, booktitle = {Integrated Photonics Research}, address = {New Orleans, Louisiana, USA}, pages = {302 -- 303}, year = {1992}, language = {en} } @inproceedings{SchaedleRuprechtSchmidt2007, author = {Sch{\"a}dle, Achim and Ruprecht, Daniel and Schmidt, Frank}, title = {Transparent boundary conditions - the pole condition approach}, booktitle = {Proceedings of Waves 2007}, editor = {et.al., N. Biggs}, pages = {301 -- 303}, year = {2007}, language = {en} } @article{SchmidtYevick1997, author = {Schmidt, Frank and Yevick, David}, title = {Discrete Transparent Boundary Conditions for Schr{\"o}dinger-Type Equations}, volume = {134}, journal = {J. Comput. Phys.}, number = {1}, doi = {10.1006/jcph.1997.5675}, pages = {96 -- 107}, year = {1997}, language = {en} } @inproceedings{SchmidtBurgerSchaedleetal.2005, author = {Schmidt, Frank and Burger, Sven and Sch{\"a}dle, Achim and Klose, Roland}, title = {Finite element methods for optical device design}, booktitle = {Proceedings of the 5th International Conference on Numerical Simulation of Optoelectronic devices}, doi = {10.1109/NUSOD.2005.1518133}, pages = {57 -- 58}, year = {2005}, language = {en} } @inproceedings{SchmidtDeuflhard1994, author = {Schmidt, Frank and Deuflhard, Peter}, title = {Discrete Transparent Boundary Conditions for Fresnel's Equation}, booktitle = {Integrated Photonics Research}, address = {San Francisco, California, USA}, pages = {45 -- 47}, year = {1994}, language = {en} } @article{SchmidtDeuflhard1995, author = {Schmidt, Frank and Deuflhard, Peter}, title = {Discrete Transparent Boundary Conditions for the Numerical Solution of Fresnel's Equation.}, volume = {29}, journal = {Comput. Math. Appl.}, pages = {53 -- 76}, year = {1995}, language = {en} } @inproceedings{Schmidt2000, author = {Schmidt, Frank}, title = {Discrete Nonreflecting Boundary Conditions for the Helmholtz equation}, booktitle = {Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation}, editor = {Berm{\´u}dez, A. and G{\´o}mez, D. and Hazard, C. and Joly, P. and Roberts, J.}, address = {Waves 2000, Santiago de Compostella, Spain}, pages = {921 -- 925}, year = {2000}, language = {en} } @phdthesis{Schmidt2002, author = {Schmidt, Frank}, title = {Solution of Interior-Exterior Helmholtz-Type Problems Based on the Pole Condition Concept}, year = {2002}, language = {en} } @article{Schmidt2004, author = {Schmidt, Frank}, title = {Pole Condition: A new Approach to Solve Scattering Problems}, volume = {1}, journal = {Oberwolfach Report}, number = {1}, publisher = {Mathematisches Forschungsinstitut Oberwolfach}, pages = {615 -- 617}, year = {2004}, language = {en} } @phdthesis{Schmidt1989, author = {Schmidt, Frank}, title = {Ingenieurm{\"a}ßige Berechnung der Feldausbreitung in optischen Bauelementen der Lichtwellenleitertechnik}, year = {1989}, language = {en} } @article{Schmidt1990, author = {Schmidt, Frank}, title = {Simulation und Herstellung von Faserschleifkopplern}, volume = {39}, journal = {Wissenschaftliche Zeitschrift der Humboldt-Universit{\"a}t zu Berlin, R. Math./Naturwiss.}, number = {2}, pages = {115 -- 118}, year = {1990}, language = {en} } @article{Schmidt1993, author = {Schmidt, Frank}, title = {An Adaptive Approach to the Numerical Solution of Fresnel's Wave Equation.}, volume = {11}, journal = {IEEE Journal of Lightwave Technology}, number = {9}, pages = {1425 -- 1435}, year = {1993}, language = {en} } @inproceedings{ZschiedrichBurgerKettneretal.2006, author = {Zschiedrich, Lin and Burger, Sven and Kettner, Benjamin and Schmidt, Frank}, title = {Advanced Finite Element Method for Nano-Resonators}, volume = {6115}, booktitle = {Proc. SPIE}, arxiv = {http://arxiv.org/abs/physics/0601025}, doi = {10.1117/12.646252}, pages = {611515}, year = {2006}, language = {en} } @inproceedings{ZschiedrichBurgerKloseetal.2005, author = {Zschiedrich, Lin and Burger, Sven and Klose, Roland and Sch{\"a}dle, Achim and Schmidt, Frank}, title = {JCMmode: an adaptive finite element solver for the computation of leaky modes}, volume = {5728}, booktitle = {Integrated Optics: Devices, Materials, and Technologies IX}, editor = {Sidorin, Y. and W{\"a}chter, Christoph}, publisher = {Proc. SPIE}, doi = {10.1117/12.590372}, pages = {192 -- 202}, year = {2005}, language = {en} } @inproceedings{ZschiedrichBurgerPomplunetal.2007, author = {Zschiedrich, Lin and Burger, Sven and Pomplun, Jan and Schmidt, Frank}, title = {Goal oriented adaptive finite element method for precise simulation of optical components}, volume = {6475}, booktitle = {Proc. SPIE, Integrated Optics}, editor = {Sidorin, Y. and Waechter, Ch.}, pages = {64750H}, year = {2007}, language = {en} } @inproceedings{ZschiedrichBurgerSchaedleetal.2008, author = {Zschiedrich, Lin and Burger, Sven and Sch{\"a}dle, Achim and Schmidt, Frank}, title = {A rigorous finite-element domain decomposition method for electromagnetic near field simulations}, volume = {6924}, booktitle = {Optical Microlithography XXI}, editor = {Levinson, Harry and Dusa, Mircea}, publisher = {SPIE}, doi = {10.1117/12.771989}, year = {2008}, language = {en} } @inproceedings{ZschiedrichBurgerSchaedleetal.2005, author = {Zschiedrich, Lin and Burger, Sven and Sch{\"a}dle, Achim and Schmidt, Frank}, title = {Domain decomposition method for electromagnetic scattering problems: application to EUV lithography}, booktitle = {Proceedings of the 5th International Conference on Numerical Simulation of Optoelectronic devices}, doi = {10.1109/NUSOD.2005.1518132}, pages = {55 -- 56}, year = {2005}, language = {en} } @inproceedings{ZschiedrichGreinerPomplunetal.2012, author = {Zschiedrich, Lin and Greiner, Horst and Pomplun, Jan and Hammerschmidt, Martin and Burger, Sven and Schmidt, Frank}, title = {FEM simulations of light extraction from nanostructured organic light-emitting diodes}, booktitle = {Renewable Energy and the Environment Optics and Photonics Congress}, publisher = {Optical Society of America}, doi = {10.1364/SOLED.2012.LT2B.5}, pages = {LT2B.5}, year = {2012}, language = {en} } @article{ZschiedrichKloseSchaedleetal.2006, author = {Zschiedrich, Lin and Klose, Roland and Sch{\"a}dle, Achim and Schmidt, Frank}, title = {A new finite element realization of the Perfectly Matched Layer Method for Helmholtz scattering problems on polygonal domains in 2D}, volume = {188}, journal = {J. Comput. Appl. Math.}, doi = {10.1016/j.cam.2005.03.047}, pages = {12 -- 32}, year = {2006}, language = {en} } @inproceedings{ZschiedrichSchmidt2008, author = {Zschiedrich, Lin and Schmidt, Frank}, title = {Finite element simulation of light propagation in non-periodic mask patterns}, volume = {7028}, booktitle = {Photomask and Next-Generation Lithography Mask Technology XV}, editor = {Horiuchi, Toshiyuki}, publisher = {SPIE}, year = {2008}, language = {en} } @article{YevickFrieseSchmidt2001, author = {Yevick, David and Friese, T. and Schmidt, Frank}, title = {A Comparison of Transparent Boundary Conditions for the Fresnel Equation}, volume = {168}, journal = {J. Comput. Phys.}, number = {2}, pages = {433 -- 444}, year = {2001}, language = {en} } @article{YevickYuSchmidt1997, author = {Yevick, David and Yu, J. and Schmidt, Frank}, title = {Analytic Studies of Absorbing and Impedance-Matched Boundary Layers}, volume = {9}, journal = {IEEE Photonics Technology Letters}, doi = {10.1109/68.554499}, pages = {73 -- 75}, year = {1997}, language = {en} } @article{ArellanoMingaleevKoltchanovetal.2013, author = {Arellano, Cristina and Mingaleev, Sergei F. and Koltchanov, Igor and Richter, Andre and Pomplun, Jan and Burger, Sven and Schmidt, Frank}, title = {Efficient design of photonic integrated circuits (PICs) by combining device- and circuit- level simulation tools}, volume = {8627}, journal = {Proc. SPIE}, doi = {10.1117/12.2004378}, pages = {862711}, year = {2013}, language = {en} } @article{BurgerZschiedrichPomplunetal.2013, author = {Burger, Sven and Zschiedrich, Lin and Pomplun, Jan and Blome, Mark and Schmidt, Frank}, title = {Advanced finite-element methods for design and analysis of nano-optical structures: Applications}, volume = {8642}, journal = {Proc. SPIE}, arxiv = {http://arxiv.org/abs/1304.4356}, doi = {10.1117/12.2001094}, pages = {864205}, year = {2013}, language = {en} } @article{HammerschmidtLockauBurgeretal.2013, author = {Hammerschmidt, Martin and Lockau, Daniel and Burger, Sven and Schmidt, Frank and Schwanke, Christoph and Kirner, Simon and Calnan, Sonya and Stannowski, Bernd and Rech, Bernd}, title = {FEM-based optical modeling of silicon thin-film tandem solar cells with randomly textured interfaces in 3D}, volume = {8620}, journal = {Proc. SPIE}, doi = {10.1117/12.2001789}, pages = {86201H}, year = {2013}, language = {en} } @article{BurgerZschiedrichPomplunetal.2013, author = {Burger, Sven and Zschiedrich, Lin and Pomplun, Jan and Schmidt, Frank and Bodermann, Bernd}, title = {Fast simulation method for parameter reconstruction in optical metrology}, volume = {8681}, journal = {Proc. SPIE}, arxiv = {http://arxiv.org/abs/1304.4367}, doi = {10.1117/12.2011154}, pages = {868119}, year = {2013}, language = {en} } @article{ZschiedrichGreinerBurgeretal.2013, author = {Zschiedrich, Lin and Greiner, Horst and Burger, Sven and Schmidt, Frank}, title = {Numerical analysis of nanostructures for enhanced light extraction from OLEDs}, volume = {8641}, journal = {Proc. SPIE}, arxiv = {http://arxiv.org/abs/1304.4380}, doi = {10.1117/12.2001132}, pages = {86410B}, year = {2013}, language = {en} } @article{BeckerLockauSontheimeretal.2012, author = {Becker, Christiane and Lockau, Daniel and Sontheimer, Tobias and Schubert-Bischoff, Peter and Rudigier-Voigt, Eveline and Bockmeyer, Matthias and Schmidt, Frank and Rech, Bernd}, title = {Large-area 2D periodic crystalline silicon nanodome arrays on nanoimprinted glass exhibiting photonic band structure effects}, volume = {23}, journal = {Nanotechnology}, number = {13}, doi = {10.1088/0957-4484/23/13/135302}, pages = {135302}, year = {2012}, language = {en} } @article{LockauSontheimerBeckeretal.2013, author = {Lockau, Daniel and Sontheimer, Tobias and Becker, Christiane and Rudigier-Voigt, Eveline and Schmidt, Frank and Rech, Bernd}, title = {Nanophotonic light trapping in 3-dimensional thin-film silicon architectures}, volume = {21}, journal = {Opt. Express}, doi = {10.1364/OE.21.000A42}, pages = {A42}, year = {2013}, language = {en} } @article{LockauSontheimerPreideletal.2013, author = {Lockau, Daniel and Sontheimer, Tobias and Preidel, Veit and Becker, Christiane and Ruske, Florian and Schmidt, Frank and Rech, Bernd}, title = {Optical properties and Limits of a Large-Area Periodic Nanophotonic Light Trapping Design for Polycrystalline Silicon Thin Film Solar Cells}, volume = {1493}, journal = {MRS Proceedings}, doi = {10.1557/opl.2013.28}, pages = {59 -- 64}, year = {2013}, language = {en} }